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20022026
most citedComplex network approaches to nonlinear time series analysis

648 citations

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8 papers · 1 filter

nlin.AO20254 cited

Impact of internal noise on convolutional neural networks

Ivan Kolesnikov, Nadezhda Semenova

In this paper, we investigate the impact of noise on a simplified trained convolutional network. The types of noise studied originate from a real optical implementation of a neural…

nlin.AO20242 cited

Impact of pulse exposure on chimera state in ensemble of FitzHugh-Nagumo systems

Elena Rybalova, Nadezhda Semenova

In this article we consider the influence of a periodic sequence of Gaussian pulses on a chimera state in a ring of coupled FitzHugh-Nagumo systems. We found that on the way to com…

nlin.AO202318 cited

Delay-induced self-oscillation excitation in the FitzHugh-Nagumo model: regular and chaotic dynamics

Vladimir V. Semenov, Andrei V. Bukh, Nadezhda Semenova

The stochastic FitzHugh-Nagumo model with time delayed-feedback is often studied in excitable regime to demonstrate the time-delayed control of coherence resonance. Here, we show t…

nlin.AO202031 cited

Role of solitary states in forming spatiotemporal patterns in a 2D lattice of van der Pol oscillators

I. A. Shepelev, A. V. Bukh, S. S. Muni +1

The behavior of the ensemble of coupled van der Pol oscillators is abundant when coupling parameters are changed. Incoherent and chimera-like regimes are observed at small values o…

nlin.AO201941 cited

Relay synchronization in multiplex networks of discrete maps

Marius Winkler, Jakub Sawicki, Iryna Omelchenko +3

Complex multiplex networks consist of several subnetwork layers, which interact via pairwise inter-layer connections. Relay synchronization between distant layers which are not dir…

nlin.AO201760 cited

New type of chimera and mutual synchronization of spatiotemporal structures in two coupled ensembles of nonlocally interacting chaotic maps

Andrei Bukh, Elena Rybalova, Nadezhda Semenova +2

We study numerically the dynamics of a network made of two coupled one-dimensional ensembles of discrete-time systems. The first ensemble is represented by a ring of nonlocally cou…